Factors of 1 | factor of 1

In this article, we will learn about the factors of 1 and how to do prime factorization of 1 with examples.

In Mathematics, factors refer to dividing a given number evenly and the remainder to be 0. As we know-

1 is neither a prime number nor a composite number. In fact, it is the only which is the factor of all the numbers.

What are the factors of 1?

When we talk about the “factors of 1,” we refer to the fact that 1 is a unique number with a distinct relationship with all other numbers.

So, the factor of 1 is 1 itself.

It’s the only number that has only 1 factor which is itself.

Prime Factorization of 1: The number 1 doesn’t have any prime factor.

Factors of 1: 1 (itself)

How to find the factors of 1 or Prime factorization of 1?

As we have studied above, 1 is a factor in itself.

Hence, there are no more factors that we can find or calculate.

A Few essential properties to understand the factor of 1 :

1. Identity Property

The “Factor of 1” is closely related to the identity property in mathematics. In multiplication, the identity property states that any number multiplied by 1 equals itself.

For example:

• 5 x 1 = 5
• 100 x 1 = 100
• π x 1 = π

In each case, multiplying by 1 doesn’t change the value of the original number, highlighting the importance of the “Factor of 1” as an identity element.

2. Division

In division, the “Factor of 1” plays a significant role as well. Any number divided by 1 equals itself:

• 10 ÷ 1 = 10
• 50 ÷ 1 = 50
• 7 ÷ 1 = 7

This demonstrates the principle that dividing by 1 doesn’t alter the value of the numerator.

3. Factor in Pair

In Pair, the “factor of 1 “ is important as the product of 1 and 1 obtains 1.

which means  1 x 1=1 (factors in Pair)

Key Points to keep in mind for Factors of 1 

• 1 is the factor of itself
• Also, 1 is the factor of all the numbers
• In multiplication, the identity property states that any number multiplied by 1 equals itself.
• Any number divided by 1 equals itself

Factors of 1 FAQ’s